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221429482635704 = 237192312771246291
BaseRepresentation
bin110010010110001110010001…
…101001111100000110111000
31002001000110012100212102200112
4302112032101221330012320
5213010400040023320304
62102535144445323452
764432516000300550
oct6226162151740670
91061013170772615
10221429482635704
1164610797325202
1220a02625866588
1396729312b9c45
143c9735bd00160
151a8ed50565b6e
hexc96391a7c1b8

221429482635704 has 128 divisors (see below), whose sum is σ = 525284661657600. Its totient is φ = 85317717260160.

The previous prime is 221429482635679. The next prime is 221429482635709. The reversal of 221429482635704 is 407536284924122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221429482635709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32515202 + ... + 38731089.

It is an arithmetic number, because the mean of its divisors is an integer number (4103786419200).

It is a 1-persistent number, because it is pandigital, but 2⋅221429482635704 = 442858965271408 is not.

Almost surely, 2221429482635704 is an apocalyptic number.

It is an amenable number.

221429482635704 is an abundant number, since it is smaller than the sum of its proper divisors (303855179021896).

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

221429482635704 is a wasteful number, since it uses less digits than its factorization.

221429482635704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71246473 (or 71246469 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 59.

The spelling of 221429482635704 in words is "two hundred twenty-one trillion, four hundred twenty-nine billion, four hundred eighty-two million, six hundred thirty-five thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 127 133 152 161 184 254 266 322 437 508 532 644 874 889 1016 1064 1288 1748 1778 2413 2921 3059 3496 3556 4826 5842 6118 7112 9652 11684 12236 16891 19304 20447 23368 24472 33782 40894 55499 67564 81788 110998 135128 163576 221996 388493 443992 776986 1553972 3107944 71246291 142492582 284985164 498724037 569970328 997448074 1353679529 1638664693 1994896148 2707359058 3277329386 3989792296 5414718116 6554658772 9048278957 9475756703 10829436232 11470652851 13109317544 18096557914 18951513406 22941305702 31134629167 36193115828 37903026812 45882611404 62269258334 63337952699 72386231656 75806053624 91765222808 124538516668 126675905398 171917300183 208110416011 217942404169 249077033336 253351810796 343834600366 416220832022 435884808338 506703621592 687669200732 832441664044 871769616676 1203421101281 1375338401464 1456772912077 1664883328088 1743539233352 2406842202562 2913545824154 3954097904209 4813684405124 5827091648308 7908195808418 9627368810248 11654183296616 15816391616836 27678685329463 31632783233672 55357370658926 110714741317852 221429482635704