Search a number
-
+
122235466165640 = 23537223955736619
BaseRepresentation
bin11011110010110000101001…
…100010100010110110001000
3121000210121002210202110101022
4123302300221202202312020
5112010201213314300030
61111550110431012012
734514135542111112
oct3362605142426610
9530717083673338
10122235466165640
1135a47851a84393
121186207636a008
1353289a7970929
142228329db63b2
15e1e95951ade5
hex6f2c298a2d88

122235466165640 has 128 divisors (see below), whose sum is σ = 282682600704000. Its totient is φ = 47535759387648.

The previous prime is 122235466165639. The next prime is 122235466165699. The reversal of 122235466165640 is 46561664532221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18467358251 + ... + 18467364869.

It is an arithmetic number, because the mean of its divisors is an integer number (2208457818000).

Almost surely, 2122235466165640 is an apocalyptic number.

122235466165640 is a gapful number since it is divisible by the number (10) 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 122235466165640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141341300352000).

122235466165640 is an abundant number, since it is smaller than the sum of its proper divisors (160447134538360).

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

122235466165640 is a wasteful number, since it uses less digits than its factorization.

122235466165640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

The spelling of 122235466165640 in words is "one hundred twenty-two trillion, two hundred thirty-five billion, four hundred sixty-six million, one hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2239 4478 5573 6619 8956 11146 11195 13238 17912 22292 22390 26476 27865 33095 44584 44780 52952 55730 66190 82843 89560 111460 132380 165686 206201 222920 244903 264760 331372 412402 414215 489806 662744 824804 828430 979612 1031005 1224515 1649608 1656860 1959224 2062010 2449030 3313720 4124020 4898060 8248040 9796120 12477947 14819941 24955894 29639882 36887687 49911788 59279764 62389735 73775374 74099705 99823576 118559528 124779470 147550748 148199410 184438435 249558940 295101496 296398820 368876870 461684039 499117880 548337817 592797640 737753740 923368078 1096675634 1364844419 1475507480 1846736156 2193351268 2308420195 2729688838 2741689085 3693472312 4386702536 4616840390 5459377676 5483378170 6824222095 9233680780 10918755352 10966756340 13648444190 18467361560 21933512680 27296888380 54593776760 82591531193 165183062386 330366124772 412957655965 660732249544 825915311930 1651830623860 3055886654141 3303661247720 6111773308282 12223546616564 15279433270705 24447093233128 30558866541410 61117733082820 122235466165640