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23300044440 = 2335537151599
BaseRepresentation
bin10101101100110010…
…100111011010011000
32020010211010220011220
4111230302213122120
5340204302410230
614412012452040
71453253052501
oct255462473230
966124126156
1023300044440
1199772a4282
12462317a020
1322742a425a
1411b06b3ba8
1591582bd10
hex56cca7698

23300044440 has 128 divisors (see below), whose sum is σ = 72223488000. Its totient is φ = 6010135040.

The previous prime is 23300044393. The next prime is 23300044477. The reversal of 23300044440 is 4444000332.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23300044440.

It is a congruent number.

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, 425761 + ... + 477359.

It is an arithmetic number, because the mean of its divisors is an integer number (564246000).

Almost surely, 223300044440 is an apocalyptic number.

23300044440 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 23300044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36111744000).

23300044440 is an abundant number, since it is smaller than the sum of its proper divisors (48923443560).

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

23300044440 is a wasteful number, since it uses less digits than its factorization.

23300044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51737 (or 51733 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23300044440 its reverse (4444000332), we get a palindrome (27744044772).

The spelling of 23300044440 in words is "twenty-three billion, three hundred million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 71 106 120 142 159 212 213 265 284 318 355 424 426 530 568 636 710 795 852 1060 1065 1272 1420 1590 1704 2120 2130 2840 3180 3763 4260 6360 7526 8520 11289 15052 18815 22578 30104 37630 45156 51599 56445 75260 90312 103198 112890 150520 154797 206396 225780 257995 309594 412792 451560 515990 619188 773985 1031980 1238376 1547970 2063960 2734747 3095940 3663529 5469494 6191880 7327058 8204241 10938988 10990587 13673735 14654116 16408482 18317645 21877976 21981174 27347470 29308232 32816964 36635290 41021205 43962348 54694940 54952935 65633928 73270580 82042410 87924696 109389880 109905870 146541160 164084820 194167037 219811740 328169640 388334074 439623480 582501111 776668148 970835185 1165002222 1553336296 1941670370 2330004444 2912505555 3883340740 4660008888 5825011110 7766681480 11650022220 23300044440