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23123102240 = 255781125457
BaseRepresentation
bin10101100010001111…
…101000101000100000
32012200111012022010002
4111202033220220200
5334324003232430
614342252155132
71446004061150
oct254217505040
965614168102
1023123102240
11989642aa57
124593a68aa8
132246731124
141194db4760
15905029845
hex5623e8a20

23123102240 has 96 divisors (see below), whose sum is σ = 62511813504. Its totient is φ = 7917834240.

The previous prime is 23123102231. The next prime is 23123102257. The reversal of 23123102240 is 4220132132.

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

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, 895592 + ... + 921048.

It is an arithmetic number, because the mean of its divisors is an integer number (651164724).

Almost surely, 223123102240 is an apocalyptic number.

23123102240 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 23123102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31255906752).

23123102240 is an abundant number, since it is smaller than the sum of its proper divisors (39388711264).

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

23123102240 is a wasteful number, since it uses less digits than its factorization.

23123102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26290 (or 26282 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23123102240 its reverse (4220132132), we get a palindrome (27343234372).

The spelling of 23123102240 in words is "twenty-three billion, one hundred twenty-three million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 811 1120 1622 3244 4055 5677 6488 8110 11354 12976 16220 22708 25457 25952 28385 32440 45416 50914 56770 64880 90832 101828 113540 127285 129760 178199 181664 203656 227080 254570 356398 407312 454160 509140 712796 814624 890995 908320 1018280 1425592 1781990 2036560 2851184 3563980 4073120 5702368 7127960 14255920 20645627 28511840 41291254 82582508 103228135 144519389 165165016 206456270 289038778 330330032 412912540 578077556 660660064 722596945 825825080 1156155112 1445193890 1651650160 2312310224 2890387780 3303300320 4624620448 5780775560 11561551120 23123102240