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902234112 = 216313353
BaseRepresentation
bin110101110001110…
…000000000000000
32022212201020112020
4311301300000000
53321432442422
6225310001440
731233602103
oct6561600000
92285636466
10902234112
1142331892a
122121a6280
13114bc9550
1487b7c73a
155431d95c
hex35c70000

902234112 has 136 divisors (see below), whose sum is σ = 2598351504. Its totient is φ = 276824064.

The previous prime is 902234107. The next prime is 902234143. The reversal of 902234112 is 211432209.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555728 + ... + 2556080.

Almost surely, 2902234112 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 902234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299175752).

902234112 is an abundant number, since it is smaller than the sum of its proper divisors (1696117392).

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

902234112 is an equidigital number, since it uses as much as digits as its factorization.

902234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 902234112 is about 30037.2121209676. The cubic root of 902234112 is about 966.2876175911.

It can be divided in two parts, 9022 and 34112, that added together give a palindrome (43134).

The spelling of 902234112 in words is "nine hundred two million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 353 384 416 512 624 706 768 832 1024 1059 1248 1412 1536 1664 2048 2118 2496 2824 3072 3328 4096 4236 4589 4992 5648 6144 6656 8192 8472 9178 9984 11296 12288 13312 13767 16384 16944 18356 19968 22592 24576 26624 27534 32768 33888 36712 39936 45184 49152 53248 55068 65536 67776 73424 79872 90368 98304 106496 110136 135552 146848 159744 180736 196608 212992 220272 271104 293696 319488 361472 425984 440544 542208 587392 638976 722944 851968 881088 1084416 1174784 1277952 1445888 1762176 2168832 2349568 2555904 2891776 3524352 4337664 4699136 5783552 7048704 8675328 9398272 11567104 14097408 17350656 18796544 23134208 28194816 34701312 37593088 56389632 69402624 75186176 112779264 150372352 225558528 300744704 451117056 902234112