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248376083220 = 223252359994223
BaseRepresentation
bin1110011101010001011…
…1100100001100010100
3212202002202102100002100
43213110113210030110
513032133234130340
6310034041242100
723641663605336
oct3472427441424
9782082370070
10248376083220
1196376907571
1240178793330
131a563800ca5
14c042c93456
1566da493830
hex39d45e4314

248376083220 has 72 divisors (see below), whose sum is σ = 786164311296. Its totient is φ = 63353898432.

The previous prime is 248376083213. The next prime is 248376083237. The reversal of 248376083220 is 22380673842.

248376083220 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 7 + 608 + 32 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29992972 + ... + 30001251.

It is an arithmetic number, because the mean of its divisors is an integer number (10918948768).

Almost surely, 2248376083220 is an apocalyptic number.

248376083220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248376083220 is an abundant number, since it is smaller than the sum of its proper divisors (537788228076).

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

248376083220 is a wasteful number, since it uses less digits than its factorization.

248376083220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59994261 (or 59994256 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 248376083220 in words is "two hundred forty-eight billion, three hundred seventy-six million, eighty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 59994223 119988446 179982669 239976892 299971115 359965338 539948007 599942230 719930676 899913345 1079896014 1199884460 1379867129 1799826690 2159792028 2699740035 2759734258 3599653380 4139601387 5399480070 5519468516 6899335645 8279202774 10798960140 12418804161 13798671290 16558405548 20698006935 24837608322 27597342580 41396013870 49675216644 62094020805 82792027740 124188041610 248376083220