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106226774836 = 22731331192121
BaseRepresentation
bin110001011101110011…
…0111111001100110100
3101011012010102021111221
41202323212333030310
53220023023243321
6120444440240124
710450253455000
oct1427346771464
9334163367457
10106226774836
1141061277206
1218707170044
13a02b8787b0
1451da021700
152b6ac19e41
hex18bb9bf334

106226774836 has 96 divisors (see below), whose sum is σ = 240997836800. Its totient is φ = 40667961600.

The previous prime is 106226774831. The next prime is 106226774887. The reversal of 106226774836 is 638477622601.

It is a super-2 number, since 2×1062267748362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226774831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456856 + ... + 648976.

Almost surely, 2106226774836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106226774836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120498918400).

106226774836 is an abundant number, since it is smaller than the sum of its proper divisors (134771061964).

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

106226774836 is a wasteful number, since it uses less digits than its factorization.

106226774836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192190 (or 192174 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 106226774836 in words is "one hundred six billion, two hundred twenty-six million, seven hundred seventy-four thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 343 364 403 434 637 686 806 868 1274 1372 1519 1612 2548 2821 3038 4459 5642 6076 8918 10633 11284 17836 19747 21266 39494 42532 78988 138229 192121 276458 384242 552916 768484 1344847 2497573 2689694 4995146 5379388 5955751 9413929 9990292 11911502 17483011 18827858 23823004 34966022 37655716 41690257 65897503 69932044 77424763 83380514 122381077 131795006 154849526 166761028 244762154 263590012 291831799 309699052 489524308 541973341 583663598 856667539 1083946682 1167327196 1713335078 2042822593 2167893364 3426670156 3793813387 4085645186 7587626774 8171290372 15175253548 26556693709 53113387418 106226774836