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192996864 = 293323607
BaseRepresentation
bin10111000000011…
…10011000000000
3111110011020221000
423200032120000
5343401344424
631052332000
74532306034
oct1340163000
9443136830
10192996864
1199a3a445
1254774000
1330ca4838
141b8bc1c4
1511e243c9
hexb80e600

192996864 has 160 divisors (see below), whose sum is σ = 597104640. Its totient is φ = 61433856.

The previous prime is 192996833. The next prime is 192996871. The reversal of 192996864 is 468699291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 192996864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317649 + ... + 318255.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2192996864 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 192996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298552320).

192996864 is an abundant number, since it is smaller than the sum of its proper divisors (404107776).

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

192996864 is an equidigital number, since it uses as much as digits as its factorization.

192996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 192996864 is about 13892.3311218816. The cubic root of 192996864 is about 577.8965264580.

The spelling of 192996864 in words is "one hundred ninety-two million, nine hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 607 621 736 768 828 864 1104 1152 1214 1242 1472 1536 1656 1728 1821 2208 2304 2428 2484 2944 3312 3456 3642 4416 4608 4856 4968 5463 5888 6624 6912 7284 8832 9712 9936 10926 11776 13248 13824 13961 14568 16389 17664 19424 19872 21852 26496 27922 29136 32778 35328 38848 39744 41883 43704 52992 55844 58272 65556 77696 79488 83766 87408 105984 111688 116544 125649 131112 155392 158976 167532 174816 223376 233088 251298 262224 310784 317952 335064 349632 376947 446752 466176 502596 524448 670128 699264 753894 893504 932352 1005192 1048896 1340256 1398528 1507788 1787008 2010384 2097792 2680512 2797056 3015576 3574016 4020768 4195584 5361024 6031152 7148032 8041536 8391168 10722048 12062304 16083072 21444096 24124608 32166144 48249216 64332288 96498432 192996864