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23122240400 = 2452723359041
BaseRepresentation
bin10101100010001100…
…010110001110010000
32012200102120111220002
4111202030112032100
5334323243143100
614342221505132
71445663541410
oct254214261620
965612514802
1023122240400
1198959a1496
1245937121a8
1322464bba6c
141194c2c640
15904e092d5
hex562316390

23122240400 has 120 divisors (see below), whose sum is σ = 66247557504. Its totient is φ = 7582924800.

The previous prime is 23122240391. The next prime is 23122240417. The reversal of 23122240400 is 404222132.

It is a super-2 number, since 2×231222404002 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 115121 + ... + 243920.

Almost surely, 223122240400 is an apocalyptic number.

23122240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122240400 is an abundant number, since it is smaller than the sum of its proper divisors (43125317104).

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

23122240400 is a wasteful number, since it uses less digits than its factorization.

23122240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359089 (or 359078 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23122240400 its reverse (404222132), we get a palindrome (23526462532).

The spelling of 23122240400 in words is "twenty-three billion, one hundred twenty-two million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 359041 718082 1436164 1795205 2513287 2872328 3590410 5026574 5744656 7180820 8257943 8976025 10053148 12566435 14361640 16515886 17952050 20106296 25132870 28723280 33031772 35904100 40212592 41289715 50265740 57805601 62832175 66063544 71808200 82579430 100531480 115611202 125664350 132127088 143616400 165158860 201062960 206448575 231222404 251328700 289028005 330317720 412897150 462444808 502657400 578056010 660635440 825794300 924889616 1005314800 1156112020 1445140025 1651588600 2312224040 2890280050 3303177200 4624448080 5780560100 11561120200 23122240400