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22402331742 = 23729592571213
BaseRepresentation
bin10100110111010010…
…000111010001011110
32010211020221100212110
4110313102013101132
5331334444103432
614142543414450
71422102451350
oct246722072136
963736840773
1022402331742
11955659445a
1244125b4426
1321602cb9cb
1411273910d0
158b1b02dcc
hex53748745e

22402331742 has 128 divisors (see below), whose sum is σ = 54123033600. Its totient is φ = 6046580736.

The previous prime is 22402331717. The next prime is 22402331759. The reversal of 22402331742 is 24713320422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18467928 + ... + 18469140.

It is an arithmetic number, because the mean of its divisors is an integer number (422836200).

Almost surely, 222402331742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22402331742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27061516800).

22402331742 is an abundant number, since it is smaller than the sum of its proper divisors (31720701858).

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

22402331742 is a wasteful number, since it uses less digits than its factorization.

22402331742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 22402331742 in words is "twenty-two billion, four hundred two million, three hundred thirty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 59 87 118 174 177 203 257 354 406 413 514 609 771 826 1213 1218 1239 1542 1711 1799 2426 2478 3422 3598 3639 5133 5397 7278 7453 8491 10266 10794 11977 14906 15163 16982 22359 23954 25473 30326 35177 35931 44718 45489 50946 52171 70354 71567 71862 90978 104342 105531 106141 143134 156513 211062 212282 214701 246239 311741 313026 318423 429402 439727 492478 500969 623482 636846 738717 879454 935223 1001938 1319181 1477434 1502907 1870446 2075443 2182187 2638362 3005814 3078089 4150886 4364374 6156178 6226329 6546561 9040489 9234267 12452658 13093122 14528101 18080978 18392719 18468534 27121467 29056202 36785438 43584303 54242934 55178157 63283423 87168606 110356314 126566846 128749033 189850269 257498066 379700538 386247099 533388851 772494198 1066777702 1600166553 3200333106 3733721957 7467443914 11201165871 22402331742