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172226978802 = 23229233732
BaseRepresentation
bin1010000001100110000…
…1110010001111110010
3121110112210110000201200
42200121201302033302
510310210101310202
6211041525512030
715304642110504
oct2403141621762
9543483400650
10172226978802
116704a70431a
1229466572616
1313319443518
14849b737d74
1547300e5e1c
hex28198723f2

172226978802 has 54 divisors (see below), whose sum is σ = 386584306407. Its totient is φ = 55412939232.

The previous prime is 172226978771. The next prime is 172226978813. The reversal of 172226978802 is 208879622271.

It can be written as a sum of positive squares in 5 ways, for example, as 171155136681 + 1071842121 = 413709^2 + 32739^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=293451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51058788 + ... + 51062160.

Almost surely, 2172226978802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172226978802

172226978802 is an abundant number, since it is smaller than the sum of its proper divisors (214357327605).

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

172226978802 is an frugal number, since it uses more digits than its factorization.

172226978802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 172226978802 in words is "one hundred seventy-two billion, two hundred twenty-six million, nine hundred seventy-eight thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 3373 5046 6746 7569 10119 15138 20238 30357 60714 97817 195634 293451 586902 880353 1760706 2836693 5673386 8510079 11377129 17020158 22754258 25530237 34131387 51060474 68262774 102394161 204788322 329936741 659873482 989810223 1979620446 2969430669 5938861338 9568165489 19136330978 28704496467 57408992934 86113489401 172226978802