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23041302400 = 27529774231
BaseRepresentation
bin10101011101010111…
…100101111110000000
32012110210021102211101
4111131113211332000
5334142033134100
614330211024144
71443661560514
oct253527457600
965423242741
1023041302400
11985423a586
12457059b054
1322327c075c
1411881a0144
158ecc6c86a
hex55d5e5f80

23041302400 has 96 divisors (see below), whose sum is σ = 57506788080. Its totient is φ = 9121382400.

The previous prime is 23041302373. The next prime is 23041302421. The reversal of 23041302400 is 420314032.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 273285 + ... + 347515.

Almost surely, 223041302400 is an apocalyptic number.

23041302400 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 23041302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753394040).

23041302400 is an abundant number, since it is smaller than the sum of its proper divisors (34465485680).

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

23041302400 is an equidigital number, since it uses as much as digits as its factorization.

23041302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74352 (or 74335 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23041302400 its reverse (420314032), we get a palindrome (23461616432).

The spelling of 23041302400 in words is "twenty-three billion, forty-one million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 128 160 194 200 320 388 400 485 640 776 800 970 1552 1600 1940 2425 3104 3200 3880 4850 6208 7760 9700 12416 15520 19400 31040 38800 62080 74231 77600 148462 155200 296924 310400 371155 593848 742310 1187696 1484620 1855775 2375392 2969240 3711550 4750784 5938480 7200407 7423100 9501568 11876960 14400814 14846200 23753920 28801628 29692400 36002035 47507840 57603256 59384800 72004070 115206512 118769600 144008140 180010175 230413024 237539200 288016280 360020350 460826048 576032560 720040700 921652096 1152065120 1440081400 2304130240 2880162800 4608260480 5760325600 11520651200 23041302400