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2290770432 = 2932563883
BaseRepresentation
bin1000100010001010…
…0110001000000000
312220122111012021100
42020202212020000
514142414123212
61015151054400
7110524140666
oct21042461000
95818435240
102290770432
11a76097805
1253b211400
132a6793182
1417a348c36
15d619bbdc
hex888a6200

2290770432 has 120 divisors (see below), whose sum is σ = 6630562224. Its totient is φ = 761370624.

The previous prime is 2290770413. The next prime is 2290770437. The reversal of 2290770432 is 2340770922.

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

It is not an unprimeable number, because it can be changed into a prime (2290770437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593863 + ... + 2594745.

Almost surely, 22290770432 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 2290770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315281112).

2290770432 is an abundant number, since it is smaller than the sum of its proper divisors (4339791792).

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

2290770432 is an equidigital number, since it uses as much as digits as its factorization.

2290770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2290770432 is about 47861.9936066186. The cubic root of 2290770432 is about 1318.2380900551.

It can be divided in two parts, 22907 and 70432, that added together give a palindrome (93339).

The spelling of 2290770432 in words is "two billion, two hundred ninety million, seven hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 563 576 768 883 1126 1152 1536 1689 1766 2252 2304 2649 3378 3532 4504 4608 5067 5298 6756 7064 7947 9008 10134 10596 13512 14128 15894 18016 20268 21192 27024 28256 31788 36032 40536 42384 54048 56512 63576 72064 81072 84768 108096 113024 127152 144128 162144 169536 216192 226048 254304 288256 324288 339072 432384 452096 497129 508608 648576 678144 864768 994258 1017216 1297152 1356288 1491387 1988516 2034432 2594304 2982774 3977032 4068864 4474161 5965548 7954064 8948322 11931096 15908128 17896644 23862192 31816256 35793288 47724384 63632512 71586576 95448768 127265024 143173152 190897536 254530048 286346304 381795072 572692608 763590144 1145385216 2290770432