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226121312812696 = 23719259189580759
BaseRepresentation
bin110011011010011111111000…
…100001101011111010011000
31002122121222122002002112002021
4303122133320201223322120
5214114232422040001241
62120530410321144224
765425503632626360
oct6332377041537230
91078558562075067
10226121312812696
116605a568126524
122143b9aa18b074
1399231c0a8c8c2
143dba4894b19a0
151b21e032350d1
hexcda7f886be98

226121312812696 has 96 divisors (see below), whose sum is σ = 520057940832000. Its totient is φ = 90252573976512.

The previous prime is 226121312812693. The next prime is 226121312812699. The reversal of 226121312812696 is 696218213121622.

It is an interprime number because it is at equal distance from previous prime (226121312812693) and next prime (226121312812699).

It is a super-2 number, since 2×2261213128126962 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226121312812693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93597636 + ... + 95983123.

It is an arithmetic number, because the mean of its divisors is an integer number (5417270217000).

Almost surely, 2226121312812696 is an apocalyptic number.

It is an amenable number.

226121312812696 is an abundant number, since it is smaller than the sum of its proper divisors (293936628019304).

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

226121312812696 is a wasteful number, since it uses less digits than its factorization.

226121312812696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189580869 (or 189580846 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 226121312812696 in words is "two hundred twenty-six trillion, one hundred twenty-one billion, three hundred twelve million, eight hundred twelve thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 59 76 118 133 152 236 266 361 413 472 532 722 826 1064 1121 1444 1652 2242 2527 2888 3304 4484 5054 7847 8968 10108 15694 20216 21299 31388 42598 62776 85196 149093 170392 298186 596372 1192744 189580759 379161518 758323036 1327065313 1516646072 2654130626 3602034421 5308261252 7204068842 10616522504 11185264781 14408137684 22370529562 25214240947 28816275368 44741059124 50428481894 68438653999 78296853467 89482118248 100856963788 136877307998 156593706934 201713927576 212520030839 273754615996 313187413868 425040061678 479070577993 547509231992 626374827736 850080123356 958141155986 1487640215873 1700160246712 1916282311972 2975280431746 3832564623944 4037880585941 5950560863492 8075761171882 11901121726984 16151522343764 28265164101587 32303044687528 56530328203174 113060656406348 226121312812696