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226005701504 = 2711236978931
BaseRepresentation
bin1101001001111011111…
…1010101001110000000
3210121100201121012102012
43102132333111032000
512200324424422004
6251454154312052
722220426523512
oct3223677251600
9717321535365
10226005701504
11879373656a0
1237974a28628
131840a00aa2b
14ad1dc5bbb2
155d2b5a246e
hex349efd5380

226005701504 has 64 divisors (see below), whose sum is σ = 512532766080. Its totient is φ = 98263334400.

The previous prime is 226005701501. The next prime is 226005701539. The reversal of 226005701504 is 405107500622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2260057015042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005701501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3457082 + ... + 3521849.

It is an arithmetic number, because the mean of its divisors is an integer number (8008324470).

Almost surely, 2226005701504 is an apocalyptic number.

It is an amenable number.

226005701504 is an abundant number, since it is smaller than the sum of its proper divisors (286527064576).

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

226005701504 is a wasteful number, since it uses less digits than its factorization.

226005701504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978979 (or 6978967 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 226005701504 in words is "two hundred twenty-six billion, five million, seven hundred one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 6978931 13957862 27915724 55831448 76768241 111662896 153536482 160515413 223325792 307072964 321030826 446651584 614145928 642061652 893303168 1228291856 1284123304 1765669543 2456583712 2568246608 3531339086 4913167424 5136493216 7062678172 9826334848 10272986432 14125356344 20545972864 28250712688 56501425376 113002850752 226005701504