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2242630845 = 3257132103409
BaseRepresentation
bin1000010110101011…
…1101010010111101
312210021220110011200
42011222331102331
514043103141340
61010311210113
7106401022230
oct20552752275
95707813150
102242630845
11a509a7824
12527076939
13299809800
14173bb7417
15d1d3d330
hex85abd4bd

2242630845 has 144 divisors (see below), whose sum is σ = 4869146880. Its totient is φ = 934861824.

The previous prime is 2242630843. The next prime is 2242630853. The reversal of 2242630845 is 5480362422.

It is not a de Polignac number, because 2242630845 - 21 = 2242630843 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242630843) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5483001 + ... + 5483409.

It is an arithmetic number, because the mean of its divisors is an integer number (33813520).

Almost surely, 22242630845 is an apocalyptic number.

It is an amenable number.

2242630845 is an abundant number, since it is smaller than the sum of its proper divisors (2626516035).

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

2242630845 is a wasteful number, since it uses less digits than its factorization.

2242630845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2242630845 is about 47356.4234819311. The cubic root of 2242630845 is about 1308.9385658355.

The spelling of 2242630845 in words is "two billion, two hundred forty-two million, six hundred thirty thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 103 105 117 169 195 273 309 315 409 455 507 515 585 721 819 845 927 1183 1227 1339 1365 1521 1545 2045 2163 2535 2863 3549 3605 3681 4017 4095 4635 5317 5915 6135 6489 6695 7605 8589 9373 10647 10815 12051 14315 15951 17407 17745 18405 20085 25767 26585 28119 32445 37219 42127 42945 46865 47853 52221 53235 60255 69121 79755 84357 87035 111657 121849 126381 128835 140595 156663 186095 207363 210635 239265 261105 294889 334971 345605 365547 379143 421785 483847 547651 558285 609245 622089 631905 783315 884667 1036815 1096641 1451541 1474445 1642953 1674855 1827735 1895715 2419235 2654001 2738255 3110445 3833557 4354623 4423335 4928859 5483205 7119463 7257705 8214765 11500671 13270005 19167785 21358389 21773115 24644295 34502013 35597315 49836241 57503355 64075167 106791945 149508723 172510065 249181205 320375835 448526169 747543615 2242630845