[go: up one dir, main page]

Search a number
-
+
22149480 = 23351311409
BaseRepresentation
bin101010001111…
…1100101101000
31112200022101010
41110133211220
521132240410
62110423520
7356160513
oct124374550
945608333
1022149480
1111559261
127501ba0
134786902
142d27d7a
151e27c20
hex151f968

22149480 has 64 divisors (see below), whose sum is σ = 67003200. Its totient is φ = 5857280.

The previous prime is 22149461. The next prime is 22149493. The reversal of 22149480 is 8494122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15016 + ... + 16424.

It is an arithmetic number, because the mean of its divisors is an integer number (1046925).

Almost surely, 222149480 is an apocalyptic number.

22149480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22149480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33501600).

22149480 is an abundant number, since it is smaller than the sum of its proper divisors (44853720).

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

22149480 is a wasteful number, since it uses less digits than its factorization.

22149480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22149480 is about 4706.3234058020. The cubic root of 22149480 is about 280.8371206029.

The spelling of 22149480 in words is "twenty-two million, one hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1409 1572 1965 2620 2818 3144 3930 4227 5240 5636 7045 7860 8454 11272 14090 15720 16908 21135 28180 33816 42270 56360 84540 169080 184579 369158 553737 738316 922895 1107474 1476632 1845790 2214948 2768685 3691580 4429896 5537370 7383160 11074740 22149480