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97222048 = 25711217211
BaseRepresentation
bin1011100101101…
…11110110100000
320202221101120121
411302313312200
5144342101143
613351450024
72260242130
oct562676640
9222841517
1097222048
114a974400
1228686914
13171b0251
14ccaaac0
1588067ed
hex5cb7da0

97222048 has 144 divisors (see below), whose sum is σ = 255794112. Its totient is φ = 35481600.

The previous prime is 97222001. The next prime is 97222079. The reversal of 97222048 is 84022279.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460663 + ... + 460873.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 297222048 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 97222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127897056).

97222048 is an abundant number, since it is smaller than the sum of its proper divisors (158572064).

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

97222048 is a wasteful number, since it uses less digits than its factorization.

97222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 97222048 is about 9860.1241371496. The cubic root of 97222048 is about 459.8204213971.

The spelling of 97222048 in words is "ninety-seven million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 121 136 154 176 187 211 224 238 242 272 308 352 374 422 476 484 544 616 748 844 847 952 968 1232 1309 1477 1496 1688 1694 1904 1936 2057 2321 2464 2618 2954 2992 3376 3388 3587 3808 3872 4114 4642 5236 5908 5984 6752 6776 7174 8228 9284 10472 11816 13552 14348 14399 16247 16456 18568 20944 23632 25109 25531 27104 28696 28798 32494 32912 37136 39457 41888 47264 50218 51062 57392 57596 64988 65824 74272 78914 100436 102124 114784 115192 129976 157828 178717 200872 204248 230384 259952 276199 315656 357434 401744 408496 434027 460768 519904 552398 631312 714868 803488 816992 868054 1104796 1262624 1429736 1736108 2209592 2859472 3038189 3472216 4419184 5718944 6076378 6944432 8838368 12152756 13888864 24305512 48611024 97222048