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149870222568 = 23331163076693
BaseRepresentation
bin1000101110010011110…
…1100001110011101000
3112022211201021010201000
42023210331201303220
54423413234110233
6152503250555000
713553631605253
oct2134475416350
9468751233630
10149870222568
1158617919480
1225067298a60
1311195711091
14737a44c09a
153d724e6d13
hex22e4f61ce8

149870222568 has 64 divisors (see below), whose sum is σ = 454152196800. Its totient is φ = 45415218240.

The previous prime is 149870222563. The next prime is 149870222573. The reversal of 149870222568 is 865222078941.

149870222568 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 70 + 2 + 2 + 2 + 568 = 666.

149870222568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149870222563) and next prime (149870222573).

It is a super-2 number, since 2×1498702225682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149870222563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31535971 + ... + 31540722.

It is an arithmetic number, because the mean of its divisors is an integer number (7096128075).

Almost surely, 2149870222568 is an apocalyptic number.

149870222568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149870222568 is an abundant number, since it is smaller than the sum of its proper divisors (304281974232).

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

149870222568 is a wasteful number, since it uses less digits than its factorization.

149870222568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63076719 (or 63076709 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 149870222568 in words is "one hundred forty-nine billion, eight hundred seventy million, two hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 63076693 126153386 189230079 252306772 378460158 504613544 567690237 693843623 756920316 1135380474 1387687246 1513840632 1703070711 2081530869 2270760948 2775374492 3406141422 4163061738 4541521896 5550748984 6244592607 6812282844 8326123476 12489185214 13624565688 16652246952 18733777821 24978370428 37467555642 49956740856 74935111284 149870222568