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1122545664 = 2123237823
BaseRepresentation
bin100001011101000…
…1011000000000000
32220020021020011100
41002322023000000
54244332430124
6303220014400
736550323612
oct10272130000
92806236140
101122545664
11526714199
12273b31400
1314b745a06
14a912adb2
156883b1c9
hex42e8b000

1122545664 has 156 divisors (see below), whose sum is σ = 3334195696. Its totient is φ = 363626496.

The previous prime is 1122545657. The next prime is 1122545693. The reversal of 1122545664 is 4665452211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363557 + ... + 1364379.

Almost surely, 21122545664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667097848).

1122545664 is an abundant number, since it is smaller than the sum of its proper divisors (2211650032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1122545664 is an equidigital number, since it uses as much as digits as its factorization.

1122545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1122545664 is about 33504.4126049092. The cubic root of 1122545664 is about 1039.2850312756.

Adding to 1122545664 its reverse (4665452211), we get a palindrome (5787997875).

The spelling of 1122545664 in words is "one billion, one hundred twenty-two million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 823 888 1024 1152 1184 1332 1536 1646 1776 2048 2304 2368 2469 2664 3072 3292 3552 4096 4608 4736 4938 5328 6144 6584 7104 7407 9216 9472 9876 10656 12288 13168 14208 14814 18432 18944 19752 21312 26336 28416 29628 30451 36864 37888 39504 42624 52672 56832 59256 60902 75776 79008 85248 91353 105344 113664 118512 121804 151552 158016 170496 182706 210688 227328 237024 243608 274059 316032 340992 365412 421376 454656 474048 487216 548118 632064 681984 730824 842752 948096 974432 1096236 1264128 1363968 1461648 1685504 1896192 1948864 2192472 2528256 2923296 3371008 3792384 3897728 4384944 5056512 5846592 7584768 7795456 8769888 10113024 11693184 15169536 15590912 17539776 23386368 30339072 31181824 35079552 46772736 62363648 70159104 93545472 124727296 140318208 187090944 280636416 374181888 561272832 1122545664