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23332224120 = 23351014794019
BaseRepresentation
bin10101101110101101…
…010111110001111000
32020020001200210101220
4111232231113301320
5340241022132440
614415122312040
71454123430012
oct255655276170
966201623356
1023332224120
119993483357
124631ab8620
13227ab6039a
1411b4a8d1b2
159185868d0
hex56eb57c78

23332224120 has 128 divisors (see below), whose sum is σ = 70854912000. Its totient is φ = 6145932800.

The previous prime is 23332224119. The next prime is 23332224127. The reversal of 23332224120 is 2142223332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332224127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5803471 + ... + 5807489.

It is an arithmetic number, because the mean of its divisors is an integer number (553554000).

Almost surely, 223332224120 is an apocalyptic number.

23332224120 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 23332224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35427456000).

23332224120 is an abundant number, since it is smaller than the sum of its proper divisors (47522687880).

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

23332224120 is a wasteful number, since it uses less digits than its factorization.

23332224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23332224120 its reverse (2142223332), we get a palindrome (25474447452).

The spelling of 23332224120 in words is "twenty-three billion, three hundred thirty-two million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 479 505 606 808 958 1010 1212 1437 1515 1916 2020 2395 2424 2874 3030 3832 4019 4040 4790 5748 6060 7185 8038 9580 11496 12057 12120 14370 16076 19160 20095 24114 28740 32152 40190 48228 48379 57480 60285 80380 96456 96758 120570 145137 160760 193516 241140 241895 290274 387032 405919 482280 483790 580548 725685 811838 967580 1161096 1217757 1451370 1623676 1925101 1935160 2029595 2435514 2902740 3247352 3850202 4059190 4871028 5775303 5805480 6088785 7700404 8118380 9625505 9742056 11550606 12177570 15400808 16236760 19251010 23101212 24355140 28876515 38502020 46202424 48710280 57753030 77004040 115506060 194435201 231012120 388870402 583305603 777740804 972176005 1166611206 1555481608 1944352010 2333222412 2916528015 3888704020 4666444824 5833056030 7777408040 11666112060 23332224120