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2242968156 = 223211132391823
BaseRepresentation
bin1000010110110000…
…1111101001011100
312210022112120212200
42011230033221130
514043144440111
61010322331500
7106403625522
oct20554175134
95708476780
102242968156
11a511081a0
125271b9b90
132998c71c0
14173c64312
15d1da8256
hex85b0fa5c

2242968156 has 144 divisors (see below), whose sum is σ = 6692474880. Its totient is φ = 624435840.

The previous prime is 2242968139. The next prime is 2242968163. The reversal of 2242968156 is 6518692422.

2242968156 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22429681562 = 10061812297660080672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229461 + ... + 1231283.

It is an arithmetic number, because the mean of its divisors is an integer number (46475520).

Almost surely, 22242968156 is an apocalyptic number.

2242968156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242968156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346237440).

2242968156 is an abundant number, since it is smaller than the sum of its proper divisors (4449506724).

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

2242968156 is a wasteful number, since it uses less digits than its factorization.

2242968156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2091 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2242968156 is about 47359.9847550651. The cubic root of 2242968156 is about 1309.0041877580.

The spelling of 2242968156 in words is "two billion, two hundred forty-two million, nine hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 239 286 396 429 468 478 572 717 858 956 1287 1434 1716 1823 2151 2574 2629 2868 3107 3646 4302 5148 5258 5469 6214 7292 7887 8604 9321 10516 10938 12428 15774 16407 18642 20053 21876 23661 23699 27963 31548 32814 34177 37284 40106 47322 47398 55926 60159 65628 68354 71097 80212 94644 94796 102531 111852 120318 136708 142194 180477 205062 213291 240636 260689 284388 307593 360954 410124 426582 435697 521378 615186 721908 782067 853164 871394 1042756 1230372 1307091 1564134 1742788 2346201 2614182 3128268 3921273 4692402 4792667 5228364 5664061 7842546 9384804 9585334 11328122 14378001 15685092 16992183 19170668 22656244 28756002 33984366 43134003 50976549 57512004 62304671 67968732 86268006 101953098 124609342 172536012 186914013 203906196 249218684 373828026 560742039 747656052 1121484078 2242968156