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23201044152 = 233111319335027
BaseRepresentation
bin10101100110111000…
…111101011010111000
32012212220212011022120
4111212320331122320
5340003431403102
614354114521240
71450641423066
oct254670753270
965786764276
1023201044152
119926425960
1245b5b96220
1322599207c0
1411a14a3036
1590bcc36bc
hex566e3d6b8

23201044152 has 128 divisors (see below), whose sum is σ = 68497954560. Its totient is φ = 6455992320.

The previous prime is 23201044129. The next prime is 23201044157. The reversal of 23201044152 is 25144010232.

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 (23201044157) 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, 644863 + ... + 679889.

It is an arithmetic number, because the mean of its divisors is an integer number (535140270).

Almost surely, 223201044152 is an apocalyptic number.

23201044152 is a gapful number since it is divisible by the number (22) 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 23201044152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34248977280).

23201044152 is an abundant number, since it is smaller than the sum of its proper divisors (45296910408).

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

23201044152 is a wasteful number, since it uses less digits than its factorization.

23201044152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35253 (or 35249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 23201044152 its reverse (25144010232), we get a palindrome (48345054384).

The spelling of 23201044152 in words is "twenty-three billion, two hundred one million, forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 193 264 286 312 386 429 572 579 772 858 1144 1158 1544 1716 2123 2316 2509 3432 4246 4632 5018 6369 7527 8492 10036 12738 15054 16984 20072 25476 27599 30108 35027 50952 55198 60216 70054 82797 105081 110396 140108 165594 210162 220792 280216 331188 385297 420324 455351 662376 770594 840648 910702 1155891 1366053 1541188 1821404 2311782 2732106 3082376 3642808 4623564 5008861 5464212 6760211 9247128 10017722 10928424 13520422 15026583 20035444 20280633 27040844 30053166 40070888 40561266 54081688 60106332 74362321 81122532 87882743 120212664 148724642 162245064 175765486 223086963 263648229 297449284 351530972 446173926 527296458 594898568 703061944 892347852 966710173 1054592916 1784695704 1933420346 2109185832 2900130519 3866840692 5800261038 7733681384 11600522076 23201044152