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23200411344 = 24311145330241
BaseRepresentation
bin10101100110110110…
…100010111011010000
32012212212200000021020
4111212312202323100
5340003301130334
614354053155440
71450633146135
oct254666427320
965785600236
1023200411344
119926033480
1245b592bb80
13225975b766
1411a137a58c
1590bbeae49
hex566da2ed0

23200411344 has 80 divisors (see below), whose sum is σ = 65430139584. Its totient is φ = 7025356800.

The previous prime is 23200411261. The next prime is 23200411427. The reversal of 23200411344 is 44311400232.

It is an interprime number because it is at equal distance from previous prime (23200411261) and next prime (23200411427).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752064 + ... + 782304.

Almost surely, 223200411344 is an apocalyptic number.

23200411344 is a gapful number since it is divisible by the number (24) 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 23200411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715069792).

23200411344 is an abundant number, since it is smaller than the sum of its proper divisors (42229728240).

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

23200411344 is a wasteful number, since it uses less digits than its factorization.

23200411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31716 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23200411344 its reverse (44311400232), we get a palindrome (67511811576).

The spelling of 23200411344 in words is "twenty-three billion, two hundred million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1453 2906 4359 5812 8718 11624 15983 17436 23248 30241 31966 34872 47949 60482 63932 69744 90723 95898 120964 127864 181446 191796 241928 255728 332651 362892 383592 483856 665302 725784 767184 997953 1330604 1451568 1995906 2661208 3991812 5322416 7983624 15967248 43940173 87880346 131820519 175760692 263641038 351521384 483341903 527282076 703042768 966683806 1054564152 1450025709 1933367612 2109128304 2900051418 3866735224 5800102836 7733470448 11600205672 23200411344