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1220930436 = 22311231492699
BaseRepresentation
bin100100011000101…
…1110101110000100
310011002101200200210
41020301132232010
510000024233221
6321052435420
742153510645
oct11061365604
93132350623
101220930436
11577202120
122a0a78b70
13165c4225b
14b821b6cc
15722c2276
hex48c5eb84

1220930436 has 96 divisors (see below), whose sum is σ = 3265920000. Its totient is φ = 351387520.

The previous prime is 1220930411. The next prime is 1220930467. The reversal of 1220930436 is 6340390221.

It is a super-2 number, since 2×12209304362 = 2981342259102300192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451015 + ... + 453713.

It is an arithmetic number, because the mean of its divisors is an integer number (34020000).

Almost surely, 21220930436 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 1220930436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960000).

1220930436 is an abundant number, since it is smaller than the sum of its proper divisors (2044989564).

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

1220930436 is a wasteful number, since it uses less digits than its factorization.

1220930436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1220930436 is about 34941.8150072374. The cubic root of 1220930436 is about 1068.8013000648.

The spelling of 1220930436 in words is "one billion, two hundred twenty million, nine hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 149 253 276 298 447 506 596 759 894 1012 1518 1639 1788 2699 3036 3278 3427 4917 5398 6556 6854 8097 9834 10281 10796 13708 16194 19668 20562 29689 32388 37697 41124 59378 62077 75394 89067 113091 118756 124154 150788 178134 186231 226182 248308 356268 372462 402151 452364 682847 744924 804302 1206453 1365694 1608604 2048541 2412906 2731388 4097082 4423661 4825812 8194164 8847322 9249473 13270983 17694644 18498946 26541966 27748419 36997892 53083932 55496838 101744203 110993676 203488406 305232609 406976812 610465218 1220930436