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23294889520 = 2457211197147
BaseRepresentation
bin10101101100011110…
…111100111000110000
32020010110102222221221
4111230132330320300
5340201442431040
614411310154424
71453161202540
oct255436747060
966113388857
1023294889520
1199743a3311
1246214b2a14
1322731baac6
1411adb31320
1591515e74a
hex56c7bce30

23294889520 has 80 divisors (see below), whose sum is σ = 62191519488. Its totient is φ = 7948926720.

The previous prime is 23294889511. The next prime is 23294889539. The reversal of 23294889520 is 2598849232.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19587 + ... + 216733.

Almost surely, 223294889520 is an apocalyptic number.

23294889520 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 23294889520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31095759744).

23294889520 is an abundant number, since it is smaller than the sum of its proper divisors (38896629968).

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

23294889520 is a wasteful number, since it uses less digits than its factorization.

23294889520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197378 (or 197372 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 23294889520 in words is "twenty-three billion, two hundred ninety-four million, eight hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 211 280 422 560 844 1055 1477 1688 2110 2954 3376 4220 5908 7385 8440 11816 14770 16880 23632 29540 59080 118160 197147 394294 788588 985735 1380029 1577176 1971470 2760058 3154352 3942940 5520116 6900145 7885880 11040232 13800290 15771760 22080464 27600580 41598017 55201160 83196034 110402320 166392068 207990085 291186119 332784136 415980170 582372238 665568272 831960340 1164744476 1455930595 1663920680 2329488952 2911861190 3327841360 4658977904 5823722380 11647444760 23294889520