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23233100240 = 2457591036827
BaseRepresentation
bin10101101000110011…
…001111100111010000
32012222011011210000002
4111220303033213100
5340040133201430
614401221545132
71451511044060
oct255063174720
965864153002
1023233100240
119942530099
1246048751a8
1322634655bc
1411a58493a0
1590ea06845
hex568ccf9d0

23233100240 has 160 divisors (see below), whose sum is σ = 63398799360. Its totient is φ = 7753462272.

The previous prime is 23233100237. The next prime is 23233100249. The reversal of 23233100240 is 4200133232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233100249) 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, 3399707 + ... + 3406533.

It is an arithmetic number, because the mean of its divisors is an integer number (396242496).

Almost surely, 223233100240 is an apocalyptic number.

23233100240 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 23233100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699399680).

23233100240 is an abundant number, since it is smaller than the sum of its proper divisors (40165699120).

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

23233100240 is a wasteful number, since it uses less digits than its factorization.

23233100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23233100240 its reverse (4200133232), we get a palindrome (27433233472).

The spelling of 23233100240 in words is "twenty-three billion, two hundred thirty-three million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 103 112 118 140 206 236 280 295 412 413 472 515 560 590 721 824 826 944 1030 1180 1442 1648 1652 2060 2065 2360 2884 3304 3605 4120 4130 4720 5768 6077 6608 6827 7210 8240 8260 11536 12154 13654 14420 16520 24308 27308 28840 30385 33040 34135 42539 47789 48616 54616 57680 60770 68270 85078 95578 97232 109232 121540 136540 170156 191156 212695 238945 243080 273080 340312 382312 402793 425390 477890 486160 546160 680624 703181 764624 805586 850780 955780 1406362 1611172 1701560 1911560 2013965 2812724 2819551 3222344 3403120 3515905 3823120 4027930 4922267 5625448 5639102 6444688 7031810 8055860 9844534 11250896 11278204 14063620 14097755 16111720 19689068 22556408 24611335 28127240 28195510 32223440 39378136 41487679 45112816 49222670 56254480 56391020 78756272 82975358 98445340 112782040 165950716 196890680 207438395 225564080 290413753 331901432 393781360 414876790 580827506 663802864 829753580 1161655012 1452068765 1659507160 2323310024 2904137530 3319014320 4646620048 5808275060 11616550120 23233100240